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q-de Rham cohomology and prisms

  • 演讲者:吴峙佑(北京国际数学研究中心)

  • 时间:2023-02-16 14:00-15:00

  • 地点:理学院大楼M3009

Abstract

q-de Rham cohomology is a new cohomology theory developed by Peter Scholze. It is a deformation of de Rham cohomology, which has the surprising feature of interpolating between p-adic Hodge theory for different p. Large parts of the theory is still conjectural, I will discuss my work on settling one of these conjectures on semilinear operators on q-de Rham cohomology.